Particles, string and interface in the three-dimensional Ising model

Abstract

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.

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• Universal Amplitude Ratios in the 3D Ising Model
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Cited by in corpus (9)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Persistent oscillations after quantum quenches in $d$ dimensions
• Correlations and structure of interfaces in the Ising model. Theory and numerics
• Interface in presence of a wall. Results from field theory
• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Quantum quenches from an excited state
• Mass of quantum topological excitations and order parameter finite size dependence
• Inhomogeneous surface tension of chemically active fluid interfaces
• Finite-size effects in the rough phase of the 3d Ising model